(-3)^2*(1/2)^5*(-3)div(-3/2)^2= eching

$$( - 3 ) ^ { 2 } \cdot ( \frac { 1 } { 2 } ) ^ { 5 } \cdot ( - 3 ) \div ( - \frac { 3 } { 2 } ) ^ { 2 } =$$

Baholash

$$-\frac{3}{8}=-0,375$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 1 ni qo‘shib, 3 ni oling.

$$\frac{\left(-3\right)^{3}\times \left(\frac{1}{2}\right)^{5}}{\left(-\frac{3}{2}\right)^{2}}$$

3 daraja ko‘rsatkichini -3 ga hisoblang va -27 ni qiymatni oling.

$$\frac{-27\times \left(\frac{1}{2}\right)^{5}}{\left(-\frac{3}{2}\right)^{2}}$$

5 daraja ko‘rsatkichini \frac{1}{2} ga hisoblang va \frac{1}{32} ni qiymatni oling.

$$\frac{-27\times \frac{1}{32}}{\left(-\frac{3}{2}\right)^{2}}$$

\frac{-27}{32} hosil qilish uchun -27 va \frac{1}{32} ni ko'paytirish.

$$\frac{\frac{-27}{32}}{\left(-\frac{3}{2}\right)^{2}}$$

\frac{-27}{32} kasri manfiy belgini olib tashlash bilan -\frac{27}{32} sifatida qayta yozilishi mumkin.

$$\frac{-\frac{27}{32}}{\left(-\frac{3}{2}\right)^{2}}$$

2 daraja ko‘rsatkichini -\frac{3}{2} ga hisoblang va \frac{9}{4} ni qiymatni oling.

$$\frac{-\frac{27}{32}}{\frac{9}{4}}$$

-\frac{27}{32} ni \frac{9}{4} ga bo'lish -\frac{27}{32} ga k'paytirish \frac{9}{4} ga qaytarish.

$$-\frac{27}{32}\times \frac{4}{9}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{27}{32} ni \frac{4}{9} ga ko‘paytiring.

$$\frac{-27\times 4}{32\times 9}$$

\frac{-27\times 4}{32\times 9} kasridagi ko‘paytirishlarni bajaring.

$$\frac{-108}{288}$$

\frac{-108}{288} ulushini 36 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{3}{8}$$

Omil

$$-\frac{3}{8} = -0,375$$